2(x + 4) = -5x + 1
2x + 8 = -5x + 1
2x + 5x = 1 - 8 = -7
7x = -7
x = -7/7 = -1
x = -1
Answer
(3,1)
Explanation
(6,2) is the same as (3,1) because the x value and y value are proportional, meaning you multiplied or divided both the x value and y value by the same number.
6 divided by 2 is 3.
2 divided by 2 is 1.
(1,3) doesn't work because the x value and y value are switched.
6 divided by 6 is 1.
2 divided by 6 is not 3.
(8,12) doesn't work because the x value and y value are switched... and it wouldn't work anyways.
6 divided by 3/4 is 8.
2 divided by 3/4 is not 2.
(12,8) doesn't work because the x value and y value aren't proportional.
12 divided by 2 is 6.
8 divided by 2 is not 6.
Therefore only (3,1) could be another ratio to (6,2).
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
For one year:
0.08(1800) + 1800
But because it is 5 years:
5(0.08(1800)) + 1800
0.4(1800) + 1800
We can make it simpler:
1.4(1800)
Multiply:
2520
YOU NOW HAVE $2520
Answer:
x = -10
Step-by-step explanation:
3(x+1) +5 = 2x -2
<em>Distribute the 3 to the x+1</em>
3x+3 +5 = 2x -2
<em>Combine like terms</em>
3x + 8 = 2x -2
<em>Subtract 2x from both sides</em>
x + 8 = -2
<em>Subtract 8 from both sides</em>
x = -10
Hope this helps!
